transport_tensor_dg.cc
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#include "rheolef.h"
using namespace rheolef;
using namespace std;
#include "transport_tensor_exact.icc"
int main(int argc, char**argv) {
environment rheolef (argc, argv);
geo omega (argv[1]);
space Xh (omega, argv[2], "tensor");
Float alpha = (argc > 3) ? atof(argv[3]) : 1;
Float nu = (argc > 4) ? atof(argv[4]) : 3;
Float t0 = (argc > 5) ? atof(argv[5]) : acos(-1.)/8;
Float a = 0;
trial sigma (Xh); test tau (Xh);
tensor ma = 0.5*((1-a)*grad_u - (1+a)*trans(grad_u));
auto beta_a = sigma*ma + trans(ma)*sigma;
form ah = integrate (ddot(grad_h(sigma)*u + beta_a + nu*sigma,tau))
+ integrate ("boundary",
max(0, -dot(u,normal()))*ddot(sigma,tau))
+ integrate ("internal_sides",
- dot(u,normal())*ddot(jump(sigma),average(tau))
+ 0.5*alpha*abs(dot(u,normal()))
*ddot(jump(sigma),jump(tau)));
field lh = integrate (ddot(chi(nu,t0),tau))
+ integrate ("boundary",
max(0, -dot(u,normal()))*ddot(sigma_g(nu,t0),tau));
field sigma_h(Xh);
#ifndef TO_CLEAN
odiststream aout ("a.mtx", io::nogz); aout << ah.uu(); aout.close();
#endif // TO_CLEAN
problem p (ah);
p.solve (lh, sigma_h);
dout << catchmark("nu") << nu << endl
<< catchmark("t0") << t0 << endl
<< catchmark("sigma") << sigma_h;
}
lh
field lh(Float epsilon, Float t, const test &v)
Definition: burgers_diffusion_operators.icc:25
Float
see the Float page for the full documentation
field
see the field page for the full documentation
form
see the form page for the full documentation
geo
see the geo page for the full documentation
problem
see the problem page for the full documentation
rheolef::catchmark
see the catchmark page for the full documentation
Definition: catchmark.h:67
rheolef::environment
see the environment page for the full documentation
Definition: environment.h:115
rheolef::odiststream
odiststream: see the diststream page for the full documentation
Definition: diststream.h:126
rheolef::odiststream::close
void close()
Definition: diststream.cc:164
rheolef::std
Definition: vec_expr_v2.h:402
rheolef::dout
odiststream dout(cout)
see the diststream page for the full documentation
Definition: diststream.h:430
space
see the space page for the full documentation
tensor
see the tensor page for the full documentation
test
see the test page for the full documentation
trial
see the test page for the full documentation
bdf::alpha
Float alpha[pmax+1][pmax+1]
Definition: bdf.icc:28
mkgeo_ball.a
int a
Definition: mkgeo_ball.sh:151
rheolef::io::nogz
@ nogz
Definition: rheostream.h:170
rheolef
This file is part of Rheolef.
Definition: compiler_eigen.h:37
rheolef::trans
csr< T, sequential > trans(const csr< T, sequential > &a)
trans(a): see the form page for the full documentation
Definition: csr.h:455
rheolef::dot
rheolef::std enable_if ::type dot const Expr1 expr1, const Expr2 expr2 dot(const Expr1 &expr1, const Expr2 &expr2)
dot(x,y): see the expression page for the full documentation
Definition: vec_expr_v2.h:415
rheolef::grad_h
std::enable_if< details::is_field_convertible< Expr >::value,details::field_expr_v2_nonlinear_terminal_field< typename Expr::scalar_type,typename Expr::memory_type,details::differentiate_option::gradient >>::type grad_h(const Expr &expr)
grad_h(uh): see the expression page for the full documentation
Definition: field_expr_terminal.h:949
rheolef::integrate
std::enable_if< details::is_field_expr_v2_nonlinear_arg< Expr >::value &&! is_undeterminated< Result >::value, Result >::type integrate(const geo_basic< T, M > &omega, const Expr &expr, const integrate_option &iopt, Result dummy=Result())
see the integrate page for the full documentation
Definition: integrate.h:202
rheolef::ddot
T ddot(const tensor_basic< T > &a, const tensor_basic< T > &b)
ddot(x,y): see the expression page for the full documentation
Definition: tensor.cc:278
rheolef::normal
details::field_expr_v2_nonlinear_terminal_function< details::normal_pseudo_function< Float > > normal()
normal: see the expression page for the full documentation
Definition: field_expr_terminal.h:439
rheolef.h
rheolef - reference manual
a
Definition: diffusion_isotropic.h:25
chi
Definition: transport_tensor_exact.icc:65
grad_u
Definition: combustion_exact.icc:34
nu
Definition: nu.h:26
p
Definition: sphere.icc:25
sigma
Definition: mosolov_exact_circle.h:40
u
Definition: leveque.h:25
main
int main(int argc, char **argv)
Definition: transport_tensor_dg.cc:29
transport_tensor_exact.icc
The tensorial transport benchmark – right-hand-side and exact solution.
sigma_g
sigma_exact sigma_g
Definition: transport_tensor_exact.icc:72